Abstract Brain Computer Interface is an interesting and important research field that has
contributed widespread application systems. In the medical field, it is important for physically …

Given a two-dimensional smooth manifold M and a bijective projection p from M on a fixed
plane (or a subset of that plane), we explore systematically how a wavelet transform (WT) on …

We review the coherent state (or group-theoretical) construction of the continuous wavelet
transform (CWT) on the two-sphere. Next, we describe the construction of a CWT on the …

We construct piecewise constant wavelets on spherical triangulations, which are orthogonal
with respect to a scalar product on L 2 (S 2). Our classes of wavelets include certain …

The stereographic projection determines a bijection between the two‐sphere, minus the
North Pole, and the tangent plane at the South Pole. This correspondence induces a unitary …

This article discusses several models for background error correlation matrices using the
wavelet diagonal assumption and the diffusion operator. The most general properties of …

We present a method for constructing wavelet bases on the unit sphere S 2 of R 3, using the
radial projection and an inner product associated to a convex polyhedron having the origin …

We survey the construction of the continuous wavelet transform (CWT) on the twosphere.
Then we discuss the discretization of the spherical CWT, obtaining various types of discrete …

In this work a family of tension trigonometric curves analogous to those of cubic Bézier
curves is presented. Some properties of the proposed curves are discussed. We propose an …

Starting from the one-dimensional Haar wavelets on the interval [0, 1], we construct
spherical Haar wavelets which are orthogonal with respect to a given scalar product. This …